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Finding the Fourth Proportional to 301.41, 449.00 and 292.34

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Solution

The fourth proportional to 301.41, 449.00 and 292.34 is: 435.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.41 : 449.00 = 292.34 : x
  2. Step 2: Convert to fraction form
    301.41/449.00 = 292.34/x
  3. Step 3: Cross multiply
    301.41x = 449.00 × 292.34
  4. Step 4: Simplify right side
    301.41x = 131,256.95
  5. Step 5: Solve for x
    x = 131,256.95/301.41
  6. Step 6: Final answer
    x = 435.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.